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Let $Y$ be a Gaussian vector of $R^{n}$ of mean $s$ and diagonal covariance matrix $Gamma$. Our aim is to estimate both $s$ and the entries $sigma_{i}=Gamma_{i,i}$, for $i=1,dots,n$, on the basis of t...
Weyl Chambers, Symmetric Spaces and Number Variance Saturation.
Diffusive variance for a tagged particle in d<3 asymmetric simple exclusion.
We consider a zero sum stochastic differential game which involves two players, emph{the controller} and emph{the stopper}. The stopper selects the stopping rule which halts the game. The controller c...
In this paper we prove a strong approximation result for a mixing sequence with infinite variance and logarithmic decay rate of the mixing coefficient. The result is proved under the assumption that t...
We consider a zero sum stochastic differential game which involves two players, emph{the controller} and emph{the stopper}. The stopper selects the stopping rule which halts the game. The controller c...
In this paper we prove a strong approximation result for a mixing sequence with infinite variance and logarithmic decay rate of the mixing coefficient. The result is proved under the assumption that t...
Let Y be a Gaussian vector whose components are independent with a common unknown variance. We consider the problem of estimating the mean μ of Y by model selection. More precisely, we start with a...
Central limit theorems for Markov chains are considered, and in particular the relationships between various expressions for asymptotic variance known from the literature. These turn out to be equal u...
We consider a ψ-irreducible, discrete-time Markov chain on a general state space with transition kernel P. Under suitable conditions on the chain, kernels can be treated as bounded linear operators...
In this paper we have proposed a class of estimators for the variance of the ratio estimator which includes two standard estimators V0, V2 and the estimators VH and V3 suggested by Royall and Eberhard...
For estimating the population variance S2y of study variable y, a class of chain estimators of S2y has been proposed in the presence of two auxiliary variables x and z by using known information on po...
We discuss the prediction of the sample variance of marks of a marked spatial point process on a continuous space by the threshold method. The threshold method is a statistical prediction using only t...
Because the stationary bootstrap resamples data blocks of random length, this method has been thought to have the largest asymptotic variance among block bootstraps Lahiri [Ann. Statist. 27 (1999) ...
Network motifs are at the core of modern studies on biological networks, trying to encompass global features such as small-world or scale-free properties. Detection of significant motifs may be base...

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